a1 Dept. of Mech. and Math., Moscow State University, Moscow, 119899, Russia. e-mail: email@example.com
Let k be a positive integer and g(k) be the least integer n > k + 1 such that all prime factors of are >k. We prove that
where c is an absolute positive constant. We also establish a new theorem on the distribution of fractional parts of a smooth function.
(Received May 20 1997)
Dedicated to the memory of Paul Erdős